Atkin-Lehner |
2+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128440d |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
1.7904310449085E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 -2 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-905896,-261788580] |
[a1,a2,a3,a4,a6] |
j |
98426590756/21434375 |
j-invariant |
L |
2.8286306897022 |
L(r)(E,1)/r! |
Ω |
0.15714619642733 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128440bc1 |
Quadratic twists by: 13 |